Pith Number

pith:ABYR6WZO

pith:2023:ABYR6WZO5RJ5RROGRAZIAIJ6DT

not attested not anchored not stored refs pending

(S)GD over Diagonal Linear Networks: Implicit Regularisation, Large Stepsizes and Edge of Stability

Mathieu Even, Nicolas Flammarion, Scott Pesme, Suriya Gunasekar

arxiv:2302.08982 v2 · 2023-02-17 · cs.LG · math.OC · stat.ML

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ABYR6WZO5RJ5RROGRAZIAIJ6DT}

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Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Criteria and Bias of Parameterized Linear Regression under Edge of Stability Regime

Receipt and verification

First computed	2026-07-05T07:04:45.327810Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

00711f5b2eec53d8c5c6883280213e1cd29f56d1bdd1bbfc9abb2f7fd2b25f0b

Aliases

arxiv: 2302.08982 · arxiv_version: 2302.08982v2 · doi: 10.48550/arxiv.2302.08982 · pith_short_12: ABYR6WZO5RJ5 · pith_short_16: ABYR6WZO5RJ5RROG · pith_short_8: ABYR6WZO

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ABYR6WZO5RJ5RROGRAZIAIJ6DT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 00711f5b2eec53d8c5c6883280213e1cd29f56d1bdd1bbfc9abb2f7fd2b25f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "666efc8ecc3a129cd3a73f2006db274f9d5c427db23754c4c0c7732c6fdaeadb",
    "cross_cats_sorted": [
      "math.OC",
      "stat.ML"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "cs.LG",
    "submitted_at": "2023-02-17T16:37:08Z",
    "title_canon_sha256": "8a5cc08967c38aaae2efc01ff045a3a65fa9771dd6cd5057f3a437d8a40fc5e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.08982",
    "kind": "arxiv",
    "version": 2
  }
}